## 8 Citations

Topological solitons in the supersymmetric Skyrme model

- Physics
- 2016

A bstractA supersymmetric extension of the Skyrme model was obtained recently, which consists of only the Skyrme term in the Nambu-Goldstone (pion) sector complemented by the same number of…

Compact shell solitons in K field theories

- Physics
- 2009

Some models providing shell-shaped static solutions with compact support (compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding exact solutions are calculated analytically.…

A higher-order Skyrme model

- Physics
- 2017

A bstractWe propose a higher-order Skyrme model with derivative terms of eighth, tenth and twelfth order. Our construction yields simple and easy-to-interpret higher-order Lagrangians. We first show…

Bogomolny equations for the BPS Skyrme models with impurity

- Physics
- 2019

We show that the BPS Skyrme model, as well as its (2+1) dimensional baby version (restricted), can be coupled with an impurity in the BPS preserving manner. The corresponding Bogomolny equations are…

Volume of a vortex and the Bradlow bound

- Physics
- 2017

We demonstrate that the geometric volume of a soliton coincides with the thermodynamical volume also for field theories with higher-dimensional vacuum manifolds (e.g., for gauged scalar field…

Skyrme–Faddeev Instantons on Complex Surfaces

- Physics
- 2015

We find stable solutions from various complex surfaces for the σ2-energy functional. They can be interpreted as instantons for the strong coupling limit of the Skyrme–Faddeev sigma model.

Spherical Twists as the σ2-Harmonic Maps from n-Dimensional Annuli into Sn−1$\mathbb {S}^{n-1}$

- Mathematics
- 2019

AbstractLet X⊂ℝn$\mathbb {X} \subset \mathbb {R}^{n}$ be a bounded Lipschitz domain and consider the σ2-energy functional
Fσ2[u;X]:=∫X∧2∇u2dx,$${\mathbb{F}_{\sigma_{2}}}[u; \mathbb{X}] :=…

$$\sigma _2$$σ2-Diffeomorphisms between 4-dimensional annuli

- Mathematics
- 2016

In this paper we study $$\sigma _2$$σ2-diffeomorphisms between 4-dimensional annuli, find a Nitsche type phenomenon for $$\sigma _2$$σ2-diffeomorphisms in 4-dimensional annuli and propose the…

## References

SHOWING 1-9 OF 9 REFERENCES

Geometry of Skyrmions

- Physics, Mathematics
- 1987

A Skyrmion may be regarded as a topologically non-trivial map from one Riemannian manifold to another, minimizing a particular energy functional. We discuss the geometrical interpretation of this…

Multi-Skyrmion solutions for the sixth order Skyrme model

- Physics
- 2001

In this Thesis, we study some of the classical properties of an extension of the Skyrme model defined by adding a sixth order derivative term to the Lagrangian. In chapter 1, we review the physical…

Topological Analysis of a Nonlinear Field Theory

- Physics
- 1970

This paper is concerned with a class of nonlinear field theories that exhibit conserved particlelike structures. An example of such a theory is quoted. Fields belonging to this theory are classical…

The principle of symmetric criticality

- Mathematics
- 1979

It is frequently explicitly or implicitly assumed that if a variational principle is invariant under some symmetry groupG, then to test whether a symmetric field configuration ϕ is an extremal, it…

Comments on Nonlinear Wave Equations as Models for Elementary Particles

- Mathematics
- 1964

It is shown that for a wide class of nonlinear wave equations there exist no stable time‐independent solutions of finite energy. The possibility is considered whether elementary particles might be…

Algebraic Topology

- Mathematics

The focus of this paper is a proof of the Nielsen-Schreier Theorem, stating that every subgroup of a free group is free, using tools from algebraic topology.